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  • 1 Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803, USA
  • 2 LSU Libraries, Louisiana State University, Baton Rouge, LA 70803, USA
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Abstract

Variation of citation counts by subdisciplines within a particular discipline is known but rarely systematically studied. This paper compares citation counts for award-winning mathematicians is different subdisciplines of mathematics. Mathematicians were selected for study in groups of rough equivalence with respect to peer evaluation, where this evaluation is given by the awarding of major prizes and grants: Guggenheim fellowships, Sloan fellowships, and National Science Foundation CAREER grants. We find a pattern in which mathematicians working in some subdisciplines have fewer citations than others who won the same award, and this pattern is consistent for all awards. So even after adjustment at the discipline level for different overall citation rates for disciplines, citation counts for different subdisciplines do not match peer evaluation. Demographic and hiring data for mathematics provides a context for a discussion of reasons and interpretations.

  • American Mathematical Society (AMS). (2011a). MR: Help. Retrieved August 2, 2011 from http://www.ams.org/mathscinet/help/citation_database_help_full.html.

    • Search Google Scholar
    • Export Citation
  • American Mathematical Society (AMS). (2011b). Annual survey of the mathematical sciences. Retrieved from http://www.ams.org/profession/data/annual-survey/annual-survey.

    • Search Google Scholar
    • Export Citation
  • American Mathematical Society (AMS). (2011c). Math reviews institution codes and addresses look up. Retrieved August 2, 2011 from http://www.ams.org/instcode.

    • Search Google Scholar
    • Export Citation
  • Association of American Universities (AAU). (2000). AAU Membership Policy. Retrieved August 2, 2011 from http://www.aau.edu/WorkArea/DownloadAsset.aspx?id=10972.

    • Search Google Scholar
    • Export Citation
  • Bensman, SJ 2008 Distributional differences of the impact factor in the sciences versus the social sciences: An analysis of the probabilistic structure of the 2005 Journal Citation Reports. Journal of the American Society for Information Science and Technology 60 6 10971117 .

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Bensman, SJ, Smolinsky, LJ, Pudovkin, AI 2010 Mean citation rate per article in mathematics journals: Differences from the scientific model. Journal of the American Society for Information Science 61 2010 14401463.

    • Search Google Scholar
    • Export Citation
  • Bornmann, L, Daniel, HD 2006 What do citation counts measure? A review of studies on citing behavior. Journal of Documentation 64 1 4580 .

  • Bornmann, L, Mutz, R, Marx, W, Schier, H, Daniel, HD 2011 A multilevel modelling approach to investigating the predictive validity of editorial decisions: Do the editors of a high profile journal select the manuscripts that are highly cited after publication?. Journal of the Royal Statistical Society A 174 4 857879 .

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Bornmann, L, Schier, H, Marx, W, Daniel, HD 2011 Is interactive open access publishing able to identify high-impact submissions? A study on the predictive validity of atmospheric chemistry and physics by using percentile rank classes. Journal of the American Society for Information Science and Technology 62 1 61071 .

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Davis, PM 2009 Reward or persuasion? The battle to define the meaning of a citation. Learned Publishing 22 1 511 .

  • Fairweather, G, Wegner, B 2009 For your information: mathematics subject classification 2010. Notices of the American Mathematical Society 56 7 848.

    • Search Google Scholar
    • Export Citation
  • Garfield, E 1979 Citation indexing—Its theory and application in science, technology, and humanities Wiley New York.

  • Glänzel, W, Schubert, A 2003 A new classification scheme of science field and subfields designed for scientometric valuation purposes. Scientometrics 56 3 357367 .

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Grcar, JF 2010 Topical bias in generalist mathematics journals. Notices of the American Mathematical Society 57 11 14211424.

  • Lewison, G, Dawson, G 1998 The effect of funding on the outputs of biomedical research. Scientometrics 41 1–2 1727 .

  • MacRoberts, MH, MacRoberts, BR 1996 Problems of citation analysis. Scientometrics 36 3 435444 .

  • MacRoberts, MH, MacRoberts, BR 2010 Problems of citation analysis: A study of uncited and seldom-cited influences. Journal of the American Society for Information Science and Technology 61 1 113 .

    • Crossref
    • Search Google Scholar
    • Export Citation
  • MathSciNet books. (2009). Retrieved August 2, 2011 from http://www.ams.org.libezp.lib.lsu.edu/mathscinet/.

  • MathSciNet papers. (2009). Retrieved August 2, 2011 from http://www.ams.org.libezp.lib.lsu.edu/mathscinet/.

  • Moed, H 2005 Citation analysis in research evaluation Springer Dordrecht.

  • National Research Council (NRC) 2010 A revised guide to the methodology of the data-based assessment of research-doctorate programs in the United States The National Academies Press Washington, DC.

    • Search Google Scholar
    • Export Citation
  • National Research Council (NRC) 2011 A data-based assessment of research-doctorate Programs in the United States The National Academies Press Washington, DC.

    • Search Google Scholar
    • Export Citation
  • National Research Council (NRC). (2011b). Assessment of research doctorate programs. Awards and honors data Collection and Methodology. Retrieved August 2, 2011 from http://sites.nationalacademies.org/PGA/Resdoc/PGA_044718.

    • Search Google Scholar
    • Export Citation
  • National Science Board (NSB). (2010). Science and Engineering Indicators 2010. Arlington: National Science Foundation (NSB 10-01).

  • Nicolaisen, J 2007 Citation analysis. Annual Review of Information Science and Technology 41:609641 .

  • Podlubny, I 2005 Comparison of scientific impact expressed by the number of citations in different fields of science. Scientometrics 64 1 9599 .

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Podlubny, I, Kassayova, K 2006 Towards a better list of citation superstars: compiling a multidisciplinary list of highly cited researchers. Research and Evaluation 13 3 154162 .

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Podlubny, I, Kassayova, K 2011 The law of constant ratio. Letters to the editor. Notices of the American Mathematical Society 58 5 653654.

    • Search Google Scholar
    • Export Citation
  • Radicchi, F, Castellano, C 2011 Rescaling citations of publications in physics. Physical Review E 83 4 046116 .

  • Radicchi, F, Fortunato, S, Castellano, C 2008 Universality of citation distributions: Toward an object measure of scientific impact. Proceedings of the National Academy of Science of the United States 105 45 1726817272 .

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Seglen, PQ 1992 The skewness of science. Journal of the American Society for Information Science 43:628638 .

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Society for Industrial and Applied Mathematics (SIAM). (2011). Prizes, awards, and lectures sponsored by SIAM. Retrieved August 2, 2011 from http://www.siam.org/prizes/sponsored/.

    • Search Google Scholar
    • Export Citation
  • Taborsky, M 2009 Biased citation practice and taxonomic parochialism. Ethology 115:105111 .

  • Thomson Reuters. (2011). Science citation index expanded scope notes, Retrieved August 2, 2011 from http://science.thomsonreuters.com/mjl/scope/scope_scie/.

    • Search Google Scholar
    • Export Citation